BACKGROUND
[0001] This invention is directed to a family of relayed image-forming optical systems consisting
of three conic mirrors. The mirrors are configured so that the system is used off-axis
in both aperture and field angle.
[0002] The prior art includes Korsch U.S. Patent 4,101,195 which discloses an anastigmat
three mirror telescope wherein the primary and tertiary mirrors are ellipsoidal and
the secondary mirror is hyperboloid. A fold mirror is positioned at an angle of 45°
with respect to the image formed by the primary-secondary mirrors. Offner U.S. patent
3,674,334 discloses a catoptric anastigmat afocal optical system where the primary
and tertiary mirrors are parabolic and the secondary mirror is hyperboloic, see FIG.
3. Additionally, Meinel et al U.S. Patent 4,
.131,485 discloses in FIG. 2 a solar energy collector and concentrator system having
primary and tertiary reflectors, and a secondary of hyperboidal shape.
[0003] Additional, more general prior art is represent by the following publications:
1) Conic Mirrors by H.P. Brueggemann (1968, Focal Press).
2) Space Optics, Proceedings of the 9th Inter- national Congress of the International
Commission for Optics, National Academy of Sciences, 1974.
3) Handbook of Military Infrared Technology, Office of Naval Research, 1965.
SUMMARY
[0004] In order to aid in the understanding of this invention it can be stated essentially
in summary form that it is directed to a family of relayed image-forming optical systems
consisting of three conic mirrors. The mirrors are arranged so that the system operates
off-axis in both aperature and field angle.
[0005] It is thus an object of this invention to provide a three mirror anastigmatic optical
system employing conic mirrors wherein the system is off-axis in both aperature and
field angle. It is another object to provide a family of relayed image forming optical
systems which is well suited for relatively fast systems speeds, from the range of
about F/2.5 to about F/5.0 and covering a large line field of view having good image
quality over a 10° by 0.5° field of view, but also applicable for fields of lower
aspects ratio, such as a field of view of 6° x 3°. It is a further object of this
invention to provide an optical system which is compact and can fit without auxiliary
fold mirrors in a box-like structure the sides of which are equal in length to one
half of the system's focal length, to offer excellent packaging, shielding and performance
capability. It is a further object of this invention to provide an optical system
which is well,shielded from unwanted out-of-field radiation, both by employing a relay
mirror and an aperature and field stops.
[0006] Other objects and advantages of this invention will become apparent from the study
of the following portion of this specification, the claims and the attached drawings.
BRIEF DESCRIPTION OF THE DRAWINGS
[0007]
FIG. 1 is a side elevational schematic of the first preferred embodiment of the three
mirror anastigmatic optical system of this invention.
FIG. 2 is a plan view thereof.
FIG. 3 is a schematic side elevational view of a second preferred embodiment of the
three mirror anastigmatic optical system of this invention.
FIG. 4 is a plan view thereof.
DESCRIPTION OF THE PREFERRED EMBODIMENTS
[0008] The first preferred embodiment of the three mirror anastigmatic optical system of
this invention is generally indicated at 10 in FIGS. 1 and 2.
[0009] This system is a relayed, image-forming optical system consisting of three conic
mirrors. Primary mirror 12 is an ellipsoid. Secondary mirror 14 is a hyperboloid.
Tertiary mirror 16 is a another ellipsoid. Primary mirror 12 and secondary mirror
14 constitute a telephoto objective forming an intermediate image at which is placed
field stop 18, see FIG. 1. This intermediate image is relayed to the final image surface
20 by the tertiary mirror 16.
[0010] The entrance pupil is on the surface of primary mirror 12. Secondary mirror 14 and
tertiary mirror 16 also form an optical system that images the entrance pupil on the
surface of the primary mirror to the aperature stop 22 positioned between tertiary
mirror 16 and final image surface 20. This pupil imagry allows the system to be shielded
from unwanted out-of-field radiation.
[0011] The system is used off axis in both aperature and field. Neither the entrance pupil
on the surface of primary mirror 12 nor the aperture stop 22 is centered on the optical
axis 24. The field of view extends from 2.15° to 5.05° in a vertical direction and
from +3 to -3° in the horizontal direction in the first preferred embodiment. The
unique geometry of the optical system lends itself to such fields of view, but the
system will also work well for a 0.5° x 10°' format.
[0012] Figures 1 and 2 show system 10 in vertical and horizontal sections, respectively.
The following lists the optical characteristics; the design has been scaled to unit
focal length. The offset elliptically shaped entrance pupil is at the primary mirror.
The primary and secondary mirrors form a Cassegrainian pair with an image in the space
between them. The intermediate image is relayed by the tertiary mirror to the final
image plane at unit magnification. The entrance pupil is reimaged in the space between
this mirror and the final image. The narrow dimensions of both the entrance pupil
and the field of view are shown in FIG. 1; such an arrangement is needed to facilitate
packaging and to provide clearances in that plane. Using the form with an offset field
angle allows the intermediate and the final images to be separated and makes them
accessible. The use of the form off-axis in aperture yields an unobscured system and
reduces the angles of incidence at the final image in the plane in FIG. 1.
[0013] A specific prescription for the system 10 is given in the following table.

[0014] The second preferred embodiment of the three mirror anastigmatic optical system is
generally indicated at 30 in FIGS. 3 and 4. In the system 30 the entrance pupil 32
is out in front of ellipsoid primary mirror 34 which determines the optical axis 36
which defines the system center line. Secondary mirror 38 is a hyperboloid and tertiary
mirror 40 is a ellipsoid..Field stop 42 is positioned between secondary mirror 38
and tertiary mirror 40 while aperature stop 44 is positioned between tertiary mirror
40 and image plan 46. As can especially be seen in FIG. 3, this system is configured
to be off-axis in both aperture and field. Neither the entrance pupil 32, the field
stop 42 or aperature stop 44 is on axis 36. The system is particularly useful in rectangular
format for narrow line imagery.
[0015] Figures 3 and 4 are the vertical and horizontal sections, respectively, of system
30. This design differs from system 10 in the location of the entrance pupil, the
optical speed, and the field of view. The circular entrance pupil is well in front
of the primary mirror, • the optical speed is f/3.0, and the field of view is essentially
a 10° line in the plane in FIG. 4. As in system 10 the aperture stop (of which the
entrance pupil is an image) is the surface immediately preceding the final image plane.
This location is ideal for efficient cold shielding and the rejection of out-of-field
radiation, but it necessarily results in high angles of incidence in the horizontal
plane at the final image. The 10° field of view in system 30 is approaching an upper
limit, as the chief ray angles of incidence approach 35°. It is also apparent from
FIG. 4 that the size of the tertiary mirror depends very much on the field of view.
[0016] A prescription for a specific embodiment of the system 30 is given below.

[0017] Advantages provided by the systems which are examples of the preferred embodiment
of this invention include thr simplicity in that the mirrors are conic. This provides
easier fabrication than necessary for higher order or general aspheric mirrors. Thus,
proper accuracy can be achieved. Furthermore, the systems . each are of such nature
that they can be placed in a very small package. Size and weight reduction is achieved.
Each of the optical systems can fit in a box, the sides of which are equal to the
length of one half the system's focal length. Prior structures were from 2 to 4 times
this size. Additionally, each of the systems provides good shielding because of the
relaying by the secondary mirror at by the transmitting aperture stop. Furthermore,
good performance is obtained by the system, with the specific example prescription
for the embodiment of system 30 providing an image quality from 50 to 100 microrad
quality.
[0018] Specific utility with the three mirror anastigmat optical system of this invention
includes the systems where sensors are placed at the image surface to convert the
image into electronic signals. The sensors would be placed along the line of the image
so that if a field- of-view is scanned by the optical system, the image seen can be
sensed by a plurality of sensors positioned along the line at the image surface, so
that recontruction is possible.
[0019] This invention has been described in its presently preferred embodiment and it is
clear that it is susceptible to numerous modifications and embodiments within the
ability of those skilled in the art. Accordingly, the scope of this invention is defined
by the scope of the following claims.
1. A three mirror anastigmatic optical system comprising primary, secondary, and tertiary
mirrors, characterised in that said primary mirror (12,34) defines an optical axis
(24,36) and has a conic ellipsoid surface, said secondary mirror (14,38) has a conic
hyperboloid surface, and said tertiary mirror (16,40) has a conic ellipsoid mirror
surface; said mirrors having surfaces shaped to form an image at an image surface
(20,46).
2. An optical system according to claim 1 characterised in that said secondary mirror
(14,38) is tilted and decentered with respect to said optical axis (24,36).
3. An optical system according to claim 1 or 2 characterised in that said tertiary
mirror (16,40) is tilted and decentered with respect to said optical axis (24,36).
4. An optical system according to any of claims 1 to 3 characterised in that the reflective
surface of said primary mirror (12,34) is on one side of said optical axis (24,36)
and the image surface (20,46) is on the other side of said optical axis (24,36), said
positions of the primary mirror (12,34) and image plane (20,46) being achieved by
using the design off-axis in aperture and field.
5. An optical system according to any of claims 1 to 4 characterised in that a field
stop (18,42) is positioned between said secondary (14,38) and said tertiary (16,40)
mirrors.
6. An optical system according to any of claims 1 to 5 characterised in that an aperture
stop (22,44) is positioned between said tertiary mirror (16,40) and the image surface
(20,46).
7. An optical system according to any of claims 1 to 6 characterised in that the entrance
pupil for said optical system is on the surface of said primary mirror (12, Figures
1 and 2).
8. An optical system according to any of claims 1 to 6 characterised in that the entrance
pupil (32) for said optical system is positioned in front of said primary mirror (34,
Figures 3 and 4).
9. An optical system according to any of claims 1 to 8 characterised in that the image
formed at said image surface (20,46) is substantially rectangular and of an aspect
ratio greater than 2:1 in a plane substantially normal to said optical axis (24,36).